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Finding the Fourth Proportional to 994.96, 1,492.84 and 446.76

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Solution

The fourth proportional to 994.96, 1,492.84 and 446.76 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.96 : 1,492.84 = 446.76 : x
  2. Step 2: Convert to fraction form
    994.96/1,492.84 = 446.76/x
  3. Step 3: Cross multiply
    994.96x = 1,492.84 × 446.76
  4. Step 4: Simplify right side
    994.96x = 666,941.20
  5. Step 5: Solve for x
    x = 666,941.20/994.96
  6. Step 6: Final answer
    x = 670.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.